For the convergent lens, draw to scale a ray diagram for the setup in Section B. Use the focal length as found experimentally. Measure d_i, d_o and the linear magnification my. Compare them to the values in Section D

Data:

experimental focal point in section B = 16.8 cm

In section D:

- do = 20.8 cm

- di =50 cm

-linear magnification = 1.97 cm

Please help me with this question, thank you so much. Here is a picture of the section b,c,d

B. Direct measurement of focal length for a convergent lens Choose one of the convergent lenses from the set. Find the focal length of the lens by focusing the image of an object "at infinity" on an index card. Refer to an object outside the window (e.g., a tree or the tower on H building). For each object repeat the measurement four times. Write down the reading uncertainty and calculate the average f and absolute uncertainty Af. DO ONE TRY ONLY g 1 (Green + Blue lens) f(cm) 16.8 cm f: 16.8 cm At = +f- 0.05 cm C. With measurements Start with the object as far as possible from the lens and move it closer to the lens until a sharp image of the object is projected onto the screen. To find the object's location giving the sharpest image. move the object back and forth. Measure the distance from the object to the lens. Repeat this twice and record do, rm and hi in Table 1. For each of them: calculate the average, absolute and relative uncertainty. Note whether the image is inverted or not. Table 1412 50 cm. step 3. Values are in cm. 1 2 3 Average rim; lm: 4%) do: 20.2 cm 21.0 cm 21.3 cm 20.8 cm 0.0866 0.05 cm 0.240 % w. 6.3 cm 7.9 cm 7.7 cm 7.3 cm 03:66 0.05 cm 0.665% hr 6.0 cm 6.1 cm 6.0 cm 6.7 cm 03:66 0.05 cm 0.746% cm D. With calculations To test Formula 1, define A= 1/do+ 1/di and calculate AA. Then verify if the uncertainty interval for A overlaps with the uncertainty interval for B= 1/f. A = 0.0683 cm-1 AA= cm-1 B = 0.0683 cm-1 AR = cm-1 1 Since A = = = B = 0.0683 cm_1 - f =; 0.0683 cm-1 = 14.7 cm To check Formula 2, measure and write down the dimension (ho, wo) for the object, and use the expression my=hiho to calculate my and Amy. Define C=-di/do, then calculate C and AC. Verify that the uncertainty intervals of C and my overlap. Wo= 2 6 cm ho = 3.4 cm my.50 = 1.97 cm Amy.50 = cm C=-2.40 cm AC= cm To check if there is lateral distortion, you must compare the magnitudes ofmxtomy. Calculate mx+ Amx and verify whether it overlaps with my + Amy. mx= 2.81 cm Amx= WI 7.3 = 2.81 cm WO 2.6